Question

2log5base 10+log8base10-1/2log4base10

Answer 1

2×0.7+0.9-1/2×0.6

=1.4+0.9-0.3

=2 ans

Answer 2

Answer:

$2 log_{10} ( 5 ) + log_{10}( 8 ) - \frac{1}{2} log_{10} ( 4 )  = 2$

Step-by-step explanation:

Given,

$2 log_{10} ( 5 ) + log_{10}( 8 ) - \frac{1}{2} log_{10} ( 4 )$

We know that,

$a \times log(b) = log( b^a )$

We use this property to eliminate the constants 2 and -1/2,

$log_{10} ( 5^2 )+ log_{10}( 8 ) - log_{10} (4^{\frac{1}{2}})\\= log_{10} ( 25 ) + log_{10}( 8 ) - log_{10} ( 2 )\\= log_{10}( \frac{ 25 \times 8}{2})\\= log_{10} ( 100 )\\= 2$

Hence the answer is 2.